Steven,
I'll try to fill in a little of the detail, not covered in the above: Of course, the reason for the gap is because of the vertical difference between your aiming eye and your arrow nock. While gravity starts to affect the arrow as soon as it is released, the effects are so minimal in the first 15-17 yards that they can basically be ignored. For all practical purposes the bow is shooting "flat" over that distance. Therefore, the gap seen at those close ranges, which I visualize in inches at the front of my bow, is that distance between my eye and my nock, at my anchor point. So, if I switch from split to three under, that visualized gap is going to get smaller by the half inch to inch that my nock moves closer to my eye. Of course, as you move to longer ranges that means your point on with three under is going to be at a closer range than with split finger. I would think that it you're going to shoot three under for close ranges, that you'd want to switch to split finger at the range where you move beyond your three under point on distance? Of course, that's just my humble opinion, and as Moebow said, the only way to see what works for you is to shoot and experiment.
Good Shooting, and Have Fun!